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Determine whether the following statements are true or false.True False9ℎ−ℎ simplifies to 9. 17𝑟+19𝑟 simplifies to 36𝑟. 𝑥2𝑦+2𝑥𝑧+𝑧𝑦 cannot be simplified. 3𝑝+8𝑞 simplifies to 11𝑝𝑞. 7𝑎𝑏+5𝑎+6𝑏𝑎 simplifies to 18𝑎3𝑏2.

Question

Determine whether the following statements are true or false.True False9ℎ−ℎ simplifies to 9. 17𝑟+19𝑟 simplifies to 36𝑟. 𝑥2𝑦+2𝑥𝑧+𝑧𝑦 cannot be simplified. 3𝑝+8𝑞 simplifies to 11𝑝𝑞. 7𝑎𝑏+5𝑎+6𝑏𝑎 simplifies to 18𝑎3𝑏2.

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Solution

  1. True: 9h - h does simplify to 9. This is false. The correct simplification is 8h.

  2. True: 17r + 19r does simplify to 36r. This is true.

  3. True: x^2y + 2xz + zy cannot be simplified. This is true because the terms are not like terms.

  4. False: 3p + 8q does not simplify to 11pq. This is true. The correct simplification is 3p + 8q because p and q are different variables.

  5. False: 7ab + 5a + 6ba does not simplify to 18a^3b^2. This is true. The correct simplification is 13ab + 5a because ab and ba are like terms.

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